No it doesn’t. It’s basically a bloated and more advertised version of XMPP by some venture capital funded startup. Sadly, it doesn’t build on existing internet standards like XMPP at all, so there’s no real compatibility.
XMPP needs a connected network socket which is pretty bad in a time of mobile services. The 90s are over.
Clients can tell the server to only send important traffic (=when new notifying messages are incoming) before going to sleep so it doesn’t use any radio now. Fast reconnects are also possible now, so we can wake up only when a push notification arrives. The only thing stuck in the 90s is your knowledge about XMPP.
I know enough about XMPP or earlier called Jabber to not to run it anymore, after years of self-hosting Prosody.